Acta mathematica scientia,Series B
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Jia Wu; Fan Wentao
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Abstract:
A generalized Bak-Sneppen model (BS model) of biological evolution with interaction strength $\theta$ is introduced in d-dimensional space, where the "nearest neighbors" are chosen among the 2d neighbors of the extremal site, with the probabilities related to the sizes of the fitnesses. Simulations of one- and two-dimensional models are given. For given $\theta>0$, the model can self-organize to a critical state, and the critical threshold fc(\theta)$ decreases as $\theta$ increases. The exact gap equation depending on $\theta$ is presented, which reduces to the gap equation of BS model as $\theta$ tends to infinity. An exact equation for the critical exponent $\gamma(\theta)$ is also obtained. Scaling relations are established among the six critical exponents of the avalanches of the model.
Key words: BS model, interaction strength, gap equation, avalanche, critical exponent
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Jia Wu; Fan Wentao. THE AVALANCHE DYNAMICS IN RANDOM NEAREST NEIGHBOR MODELS OF EVOLUTION WITH INTERACTION STRENGTH[J].Acta mathematica scientia,Series B, 2006, 26(1): 179-187.
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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(06)60039-8
http://121.43.60.238/sxwlxbB/EN/Y2006/V26/I1/179
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